ABJM matrix model and 2D Toda lattice hierarchy
ABJM matrix model and 2D Toda lattice hierarchy
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DOI：
10.1007/jhep03(2019)197
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发表时间：
2019-01
影响因子：
5.4
通讯作者：
Tomohiro Furukawa;Sanefumi Moriyama
中科院分区：
文献类型：
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作者：
Tomohiro Furukawa;Sanefumi Moriyama
已知ABJM矩阵模型中的一点函数（通过对ABJM理论中的半BPS Wilson环算子的一点函数应用局部化技术得到）满足Jacobi-Trudi公式，有力地表明了系统的可积结构。在本文中，我们将ABJM矩阵模型中两点函数的可积结构识别为二维Toda格层次结构。该辨识意味着两点函数的生成函数有无限多个非线性微分方程。
It was known that one-point functions in the ABJM matrix model (obtained by applying the localization technique to one-point functions of the half-BPS Wilson loop operator in the ABJM theory) satisfy the Jacobi-Trudi formula, which strongly indicates the integrable structure of the system. In this paper, we identify the integrable structure of two-point functions in the ABJM matrix model as the two-dimensional Toda lattice hierarchy. The identification implies infinitely many non-linear differential equations for the generating function of the two-point functions.